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Finding the Fourth Proportional to 473.64, 653.19 and 277.08

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Solution

The fourth proportional to 473.64, 653.19 and 277.08 is: 382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.64 : 653.19 = 277.08 : x
  2. Step 2: Convert to fraction form
    473.64/653.19 = 277.08/x
  3. Step 3: Cross multiply
    473.64x = 653.19 × 277.08
  4. Step 4: Simplify right side
    473.64x = 180,985.89
  5. Step 5: Solve for x
    x = 180,985.89/473.64
  6. Step 6: Final answer
    x = 382.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.